Write an equation for the line parallel to the line
shown that passes through the point (-2.3)

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

To find the slope, we need two points, according to the graph we have:

The slope is:

Therefore, the equation is of the form:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:

We substitute the point through which the line passes and find "b":

Finally, the equation is:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get